Find two positive numbers such that their product is 180 and the sum of the first number squared plus twice times the second is a minimum.

Answers

Answer 1

Answer:

3 and 60

Step-by-step explanation:

3 × 60 = 180

180 = 180

3² + 2(60)

= 9 + 120

= 129 minimum


Related Questions

(-4)-(-2)-{(-5)-[(-7)+(-3)-(-8)]}

Answers

Answer:

1

Explanation:

I used the calculator.

Your test scores in one class are 79 and 83. What possible scores can you earn on your next test to have a test average between 81 and 87, inclusive?

Answers

Answer:

83 and 84

Step-by-step explanation:

these numbers will both work because if you make an equation 79+83+x=y, with 87≥y≥81, and plug in these numbers for x, the answers are around 82 which is within the range.

Can someone answer and explain ill mark brainliest

Answers

Answer:

56 of the coins are dimes

Step-by-step explanation:

Dimes = D

Quarters = Q

D+Q=102

10D+25Q=1710

-10(D+Q=102)

-10D-10Q=-1020

+10D+25Q=1710

15Q-690

Q=46

D=102-46=56

CHECK 46(25)+56(10)=1150+560=1710 = YES

Observa la siguiente tabla que muestra los precios de un libro de cuentos y sus
respectivos descuentos en cuatro librerías.
Libreria

Answers

Answer:

No conozco este pero puedo ayudarte con otros

Step-by-step explanation:

Based on the table given, the bookstore that discounts more pesos from the original price is Leer es saber.

Which bookstore has the highest discount?

Discount from El cuentacuentos:

= 100 x 20%

= $20

Discount from Leer es saber:

= 125 x 25%

= $31.25

Discount from El librote:

= 80 x 5%

= $4.00

Discount from Imagina:

= 90 x 10%

= $9

The highest is therefore Leer es saber.

The rest of the question is:

Qué librería descuenta más pesos del precio original?

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Whoever answers first will get marked Best!A cheetah runs 177 miles in 3 hours,at this rate how many hours will it take to travel 531 miles?

Answers

Answer:

9 hours

Step-by-step explanation:

brainliest plss???

How many miles will Mrs. Garcia drive in eight hours if she is traveling 65 mph? _ miles

Answers

Answer:

520 miles

Step-by-step explanation:

65 mph * 8 hours = 520 miles

I hope this helps :)

What is the sum of the length of the longest meteor and the length of the shortest meteor? (4 points)

A line plot with the title, length of meteors. The data is measurement in inches. The line plot goes from two eighths to one and seven eighths, with fourteen tick marks in all. The first tick mark is two eighths and has one data point. The second tick mark is three eighths and has three data points. The third tick mark is four eighths and has two data points. The fourth tick mark is five eighths and has no data points. The fifth tick mark is six eighths and has two data points. The sixth tick mark is seven eighths and has no data points. The seventh tick mark is one and has no data points. The eighth tick mark is one and one eighth and has no data points. The ninth tick mark is one and two eighths and has one data point. The tenth tick mark is one and three eighths and has two data points. The eleventh tick mark is one and four eighths and has no data points. The twelfth tick mark is one and five eighths and has no data points. The thirteenth tick mark is one and six eighths and has two data points. The fourteenth tick mark is one and seven eighths and has one data point.

a
one and one eighth inches

b
two and one eighth inches

c
five and one eighth inches

d
nine and one eighth inches

Answers

Answer:

two and one eighth inches

A pizza dinner for $20 was marked down 20%. What was the new sale cost of the dinner?​

Answers

Answer:

$16

Step-by-step explanation:

take 20 multiply it by 0.2 and you get 4 multiplied by 4 is 16 so it is 16 dollars

16 that’s your answer to ur question

Bentley had 17 pencils. Kerry
had 32 pencils. How many
more pencils does Kerry have
than Bentley?

Answers

Kerry has 15 more pencils.
Question:-

Bentley had 17 pencils. Kerry

had 32 pencils. How many

more pencils does Kerry have

than Bentley?

Solution:-

Number of pencils Bentley had = 17 pencils.

Number of pencils Karry had = 32 pencils.

Number of pencils Karry have more than Bentley = 32 - 17 = 15

Answer:-

Karry have 15 pencils more than Bentley.

PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((

Answers

40 points? naw naw you scamming
no it’s not a solution bc 3+9 = 12 not 8

Who knows how to do this please i need help I don’t understand

Answers

Answer:

9,4,0,1

Step-by-step explanation:

They give you different values for the X so all you have to do is plug in the X to the different equations

At a state university on the west coast, 13% of undergraduate students are of Asian origin. Among students of Asian origin, 11% major in Humanities, 7% in Social Sciences, 31% in Biological and Physical Sciences, 36% in engineering, and the remaining 15% in Business. Among students of other ethnicities, 19% major in Humanities, 16% in Social Sciences, 12% in Biological and Physical Sciences, 18% in engineering, and the remaining 35% in Business. One undergraduate student majoring in Business is randomly selected from this university. Find the probability that the student is not of Asian origin.

Answers

Answer:

0.9398 = 93.98% probability that the student is not of Asian origin.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Business student

Event B: Not of Asian origin.

Probability that the student is an undergraduate majoring in business.

15% of 13%(Of Asian origin).

35% of 100 - 13 = 87%(Not of Asian origin). So

[tex]P(A) = 0.15*0.13 + 0.35*0.87 = 0.324[/tex]

Business student and not of Asian origin:

35% of 87%. So

[tex]P(A \cap B) = 0.35*0.87 = 0.3045[/tex]

One undergraduate student majoring in Business is randomly selected from this university. Find the probability that the student is not of Asian origin.

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.3045}{0.324} = 0.9398[/tex]

0.9398 = 93.98% probability that the student is not of Asian origin.

The measures of two angles are 2x⁰ and (3x + 20)⁰. What is the measure of each angle if x = 14?

A. 48⁰, 42⁰
B. 28⁰, 62⁰
C. 36⁰, 62⁰
D. 48⁰, 28⁰

Answers

Answer:

The measures of two angles are 2x⁰ and (3x + 20)⁰. What is the measure of each angle if x = 14?

b 28 and 62

i really need helpl lol pleasehelppppppppppppplplplppplplpl ?

Answers

Answer:

1,050

Step-by-step explanation:

3.5x

12x

25

=

1,050

Please help me to see if this is correct

Answers

Answer:

You are correct

Step-by-step explanation:

Answer: yes, you are correct :)

Step-by-step explanation:

Help please help. Need answer ASAP. 15 points. Help help help.

Answers

Answer:

ㅜ료우료ㅠㅠㅗ프ㅡㅓ효유ㅠ슈유슈뤂ㄹ푸ㅛㅜㅠ로휴ㅜ휴ㅐㅓㄴㅁㄱ무홈

Step-by-step explanation:

쵸푳퓨추르ㅛㅛㅠ롰ㄹ류ㅗ슔ㄹㅅ휴ㅗ료ㅓㅕ

The workers' union at a particular university is quite strong. About 96% of all workers employed by the university belong to the workers' union. Recently, the workers went on strike, and now a local TV station plans to interview workers (chosen at random) at the university to get their opinions on the strike. What is the probability that exactly of the workers interviewed are union members

Answers

Answer:

The probability that exaclt x of the members are union members from the n interviewed is given by:

[tex]P(X = x) = C_{n,x}.(0.96)^{x}.(0.04)^{n-x}[/tex]

Step-by-step explanation:

For each worker, there are only two possible outcomes. Either they are union members, or they are not. Members are independent of other members. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

About 96% of all workers employed by the university belong to the workers' union.

This means that [tex]p = 0.96[/tex]

What is the probability that exactly of the workers interviewed are union members

We want probability of x, from n workers interviewed. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = x) = C_{n,x}.(0.96)^{x}.(0.04)^{n-x}[/tex]

For a given arithmetic sequence, the 75th term, a75, is equal to 342, and the 4th term, 24, is equal to - 13.
nd
Find the value of the 32
term, 232

Answers

Answer:

The 32th term is 127.

Step-by-step explanation:

Arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms is always the same. The general equation for an arithmetic sequence is given by:

[tex]a_n = a_1 + (n-1)d[/tex]

In which d is the common difference.

It can also be written as:

[tex]a_n = a_m + (n - m)d[/tex]

75th term is equal to 342, and the 4th term, 24, is equal to - 13.

This means that [tex]a_4 = -13, a_75 = 342[/tex]. We use this to find d. So

[tex]a_{75} = a_4 + (75 - 4)d[/tex]

[tex]342 = -13 + 71d[/tex]

[tex]71d = 355[/tex]

[tex]d = \frac{355}{71}[/tex]

[tex]d = 5[/tex]

Find the value of the 32th term:

[tex]a_n = a_m + (n - m)d[/tex]

[tex]a_{32} = a_{4} + (32 - 4)d[/tex]

[tex]a_{32} = -13 + 28(5) = -13 + 140 = 127[/tex]

The 32th term is 127.

Select the procedure that can be used to show the converse of the
Pythagorean theorem using side lengths chosen from 5 cm, 9 cm, 12 cm, and
15 cm.
O A. Knowing that 92 + 122 + 152draw the 5 cm side and the 9 cm side
with a right angle between them. The 15 cm side will fit to form a
right triangle
B. Knowing that 52 + 92 < 122 draw the 5 cm side and the 9 cm side
with a right angle between them. The 12 cm side will fit to form a
right triangle
C. Knowing that 92 + 122 = 152, draw the 9 cm side and the 12 cm
side with a right angle between them. The 15 cm side will fit to
form a right triangle.
D. Knowing that 92 + 122 = 1), draw any two of the sides with a right
angle between them. The third side will fit to form a right triangle.

Answers

Answer:it is C

Step-by-step explanation:

Question 3
5 pts
(05.01 MC)
What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of
4.5? (5 points)
6 cm
H
8 cm
O Perimeter - 126 cm, area = 131.25 cm?
O Perimeter = 46 cm, area = 972 cm?
Perimeter = 126 cm, area = 972 cm2
Perimeter - 46 cm, area = 131.25 cm2

Answers

Answer:

Perimeter is 126cm and area is 972[tex]cm^2[/tex]

Step-by-step explanation:

Scale factor means you multiply the dimensions by the factor. In this case 4.5

The width 6cm becomes 27cm. The length 8cm becomes 36cm.

Perimeter = 2*L + 2*W, L is length and W is width.

[tex]P=27*2cm+36*2cm\\P=54cm+72cm\\P=126cm[/tex]

Area = L*W

[tex]A=27cm*36cm\\A=972cm^2[/tex]

Find the value of each trigonometric ratio

Answers

I don’t see a picture though

please help asap !!!!!! Which equation has one solution for x?

Answers

Question number b is the correct one

Answer:

I think C

Step-by-step explanation:

A has no solution

B has no X

D has infinite solutions

Olivia sold water bottles over four days. Create a graph to determine if
the quantities of bottles and number of days are proportional If the
quantities are proportional, what is the constant of proportionality?

Answers

Answer:

sorry I cannot help

Step-by-step explanation:

I will try after some time to help u....LOL

enjoy

What do you call a characteristic of a living thing that helps it survive?

Answers

Answer:

An adaptation is a characteristic that helps a living thing survive and reproduce. True Natural selection is a change in the characteristics of living things over thing

The one characteristic of a living thing which helps it to survive is an adaptation. This help to survive an organism in its environment.

What is adaptation?

Adaptation for the living thing is the main characteristics which help a living thing to be alive. It helps the living things to survive in its environment.

Importance of adaptation-

Organism are adapted to habitual thing, which help them to survive.Help to behave in changing environment.Enhance the standard of living.

Thus, the one characteristic of a living thing which helps it to survive is an adaptation. This help to survive an organism in its environment.

Learn more about adaptation here;

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Please help!!
I need to factor P(x)=x^4+50x^2+625
I thought the answer was P(x)=(x^2+25)^2
But it isn’t could someone please help with the answer?

Answers

x

4

+

50

x

2

+

625Rewrite  

625

as  

25

2

.

u

2

+

50

u

+

25

2

Check the middle term by multiplying  

2

a

b

and compare this result with the middle term in the original expression.

2

a

b

=

2

u

25

Simplify.

2

a

b

=

50

u

Factor using the perfect square trinomial rule  

a

2

+

2

a

b

+

b

2

=

(

a

+

b

)

2

, where  

a

=

u

and  

b

=

25

.

(

u

+

25

)

2

Replace all occurrences of  

u

with  

x

2

.

(

x

2

+

25

)

2

An equilateral triangle has a side length of 10 units. What is its area?

Answers

Answer:

Hope my ans help you plz if u can mark me brainlist

Step-by-step explanation:

A = 43.3

The area of an equilateral triangle has a side length of 10 units is 43.3 square units.

What is an equilateral triangle?

An equilateral triangle is one with equally long sides on both sides. The three angles opposite the three equal sides are equal in size because the three sides are equal. As a result, with each angle measuring 60 degrees, it is sometimes referred to as an equiangular triangle.

Given the side of an equilateral triangle  = 10 units

the area is given by,

A = √3/4 × a²

where a is the length of the side,

A = √3/4 × 10²

A = 1.732 x 100/4

A = 43.3 square units.

Therefore, the area of a triangle is 43.3 square units.

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From a collection of 52 store customers, 3 are to be chosen to receive a special gift. How many groups of 3 customers are possible?

Answers

Answer:

132,600 possibilities

Step-by-step explanation:

The first one chosen can be 1 of 52

The 2nd one chosen is 1 out 51

And the 3rd chosen is 1 out 50

So...

52 x 51 x 50 = 132,600

There are 22,100 groups of 3 customers that are possible from the given collection of 52 store customers.

What is a combination?

It is an arrangement of a set of numbers from a total set where the order of the set is not relevant.

We have,

The number of groups of 3 customers that can be chosen from a collection of 52 store customers can be calculated using the combination formula:

nCr = n! / r!(n - r)!

where n is the total number of customers (52) and r is the number of customers chosen (3).

Substituting the values, we get:

52C3 = 52! / 3!(52 - 3)!

52C3 = 52! / 3!49!

52C3 = (52 × 51 × 50) / (3 × 2 × 1)

52C3 = 22,100

Therefore,

There are 22,100 groups of 3 customers that are possible from the given collection of 52 store customers.

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9
On a field trip, there are 3 adults for every 45 students. Which graph models a relationship with
the same unit rate?
А
с
101
9
10
9
8
7
7
6
5
4
b
6.
5
4
3
2
3
2
1
0
30
60
90 120 150
30
60 90 120 156
B
D
10T
9
8
10
9
6
5

Answers

Answer:

I believe the answer is C

Look for Patterns Sally sees
a pattern in these numbers. Describe
the pattern.
500, 501, 502, 503, 504, 505

Answers

Answer:

Step-by-step explanation:

It is an arithmetic sequence. The nth term = 499 + n

A meteorologist stated that 1 foot of snowfall would melt to make 2 inches of water. Based on this rule, how much water should result from 84 inches of snowfall ?

Answers

80 I guess is the answer
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Which RNA molecule is matched with its correct function? patterns A and B are generated using these rules pattern a start with 12 and add six pattern be start with 4 and add 2 2. Define the term "popular sovereignty." SUSPECT #077802MR. MATT A MATTICSCHARGE: MURDERMr. Motties has been a sworn enemy of Mr Boddy ever since they were in Boot Camo (according to him, MeBoddy put Noir in his shampoo bottle on the night before Mattias received a prestigious award) Moties cimsthat he was slipping blue pills into Boddy's vitamin containers. The only problem is. Boddy reported hisSuspicions to his doctor, and his doctor gave him on antidote - small green pilisThe number of blue pills Mr. Motties gave him wos 3 more than the number of green pils Mr Body too. Thetotal number of green pills and blue pills Mr Boddy took wos 17 pills. 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E) Reducing the number of chromosomes by half during meiosis ensures the chromosome number is maintained during fertilization. determine the 1st term of the first 21 term of an arithmetic series if the sum of the three middle term is 126 and the sum of the three last terms is 288 Setting clear parameters, such as rules, guidelines, or instructions, helps people understand what is expected of them.What is the definition of parameters?